{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/conda/lib/python3.7/site-packages/qiskit/providers/ibmq/ibmqfactory.py:192: UserWarning: Timestamps in IBMQ backend properties, jobs, and job results are all now in local time instead of UTC.\n",
      "  warnings.warn('Timestamps in IBMQ backend properties, jobs, and job results '\n",
      "ibmqfactory.load_account:WARNING:2020-09-10 23:31:37,053: Credentials are already in use. The existing account in the session will be replaced.\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "# Importing standard Qiskit libraries and configuring account\n",
    "from qiskit import QuantumCircuit, execute, Aer, IBMQ\n",
    "from qiskit.compiler import transpile, assemble\n",
    "from qiskit.tools.jupyter import *\n",
    "from qiskit.visualization import *\n",
    "# Loading your IBM Q account(s)\n",
    "provider = IBMQ.load_account()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 9 - Monitoring and Optimizing circuits"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Monitoring and Tracking Jobs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import the Qiskit Jupyter tools \n",
    "from qiskit.tools import jupyter\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Accordion(children=(VBox(layout=Layout(max_width='710px', min_width='710px')),), layout=Layout(max_height='500…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "$('div.job_widget')\n",
       "        .detach()\n",
       "        .appendTo($('#header'))\n",
       "        .css({\n",
       "            'z-index': 999,\n",
       "             'position': 'fixed',\n",
       "            'box-shadow': '5px 5px 5px -3px black',\n",
       "            'opacity': 0.95,\n",
       "            'float': 'left,'\n",
       "        })\n",
       "        "
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Initialize the job tracker to automatically track all jobs\n",
    "%qiskit_job_watcher\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Let's run a simple circuit on the least busy quantum device \n",
    "# and check the job watcher widget.\n",
    "from qiskit.providers.ibmq import least_busy\n",
    "\n",
    "backend = least_busy(provider.backends(filters=lambda x: x.configuration().n_qubits >= (2) and \n",
    "                                       not x.configuration().simulator \n",
    "                                       and x.status().operational==True))\n",
    "\n",
    "#Create a simple circuit\n",
    "qc = QuantumCircuit(1)\n",
    "qc.h(0)\n",
    "qc.measure_all()\n",
    "#Execute the circuit on the backend\n",
    "job = execute(qc, backend)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Disable the job watcher\n",
    "%qiskit_disable_job_watcher\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "25aac154e71c456baa0003d65a797071",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VBox(children=(HTML(value=\"<h2 style ='color:#ffffff; background-color:#000000;padding-top: 1%; padding-bottom…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Display the list of all available backends and provide \n",
    "#a brief overview of each \n",
    "%qiskit_backend_overview\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Transpiling a Circuit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['ApplyLayout', 'BarrierBeforeFinalMeasurements', 'BasicSwap', 'BasisTranslator', 'CSPLayout', 'CXCancellation', 'CXDirection', 'CheckCXDirection', 'CheckMap', 'Collect2qBlocks', 'CommutationAnalysis', 'CommutativeCancellation', 'ConsolidateBlocks', 'CountOps', 'CountOpsLongestPath', 'CrosstalkAdaptiveSchedule', 'DAGFixedPoint', 'DAGLongestPath', 'Decompose', 'DenseLayout', 'Depth', 'EnlargeWithAncilla', 'FixedPoint', 'FullAncillaAllocation', 'HoareOptimizer', 'Layout2qDistance', 'LayoutTransformation', 'LookaheadSwap', 'MergeAdjacentBarriers', 'NoiseAdaptiveLayout', 'NumTensorFactors', 'Optimize1qGates', 'OptimizeSwapBeforeMeasure', 'RemoveDiagonalGatesBeforeMeasure', 'RemoveFinalMeasurements', 'RemoveResetInZeroState', 'ResourceEstimation', 'SabreLayout', 'SabreSwap', 'SetLayout', 'Size', 'StochasticSwap', 'TrivialLayout', 'UnitarySynthesis', 'Unroll3qOrMore', 'UnrollCustomDefinitions', 'Unroller', 'Width', '__builtins__', '__cached__', '__doc__', '__file__', '__loader__', '__name__', '__package__', '__path__', '__spec__', 'analysis', 'basis', 'layout', 'optimization', 'routing', 'synthesis', 'utils']\n"
     ]
    }
   ],
   "source": [
    "# Import the transpiler passes object\n",
    "from qiskit.transpiler import passes\n",
    "# List out all the passes available\n",
    "print(dir(passes))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 200.977x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Basic Toffoli gate,\n",
    "qc = QuantumCircuit(3)\n",
    "qc.ccx(0,1,2)\n",
    "qc.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 802.977x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 83,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc_decomposed = qc.decompose()\n",
    "qc_decomposed.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 381.577x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Basic circuit with a single and multi-qubit gates\n",
    "qc = QuantumCircuit(4)\n",
    "qc.h(0)\n",
    "qc.cx(0,1)\n",
    "qc.cx(0,2)\n",
    "qc.cx(0,3)\n",
    "qc.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Initial circuit depth:  4\n",
      "Decomposed circuit depth:  11\n",
      "Initial circuit operation count:  OrderedDict([('cx', 3), ('h', 1)])\n",
      "Decomposed circuit operation count:  OrderedDict([('cx', 6), ('t', 4), ('tdg', 3), ('h', 2)])\n"
     ]
    }
   ],
   "source": [
    "#Print the depth of both inital and decomposed circuit\n",
    "print('Initial circuit depth: ', qc.depth())\n",
    "print('Decomposed circuit depth: ', qc_decomposed.depth())\n",
    "#Get the number of operators in initial circuit\n",
    "print('Initial circuit operation count: ', qc.count_ops())\n",
    "#Get the number of operators in decomposed circuit\n",
    "print('Decomposed circuit operation count: ', qc_decomposed.count_ops())\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Configuration and Optimization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f2ba08d25cc941efba8f2d383e5bcd70",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VBox(children=(HTML(value=\"<h1 style='color:#ffffff;background-color:#000000;padding-top: 1%;padding-bottom: 1…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<IBMQBackend('ibmq_santiago') from IBMQ(hub='ibm-q', group='open', project='main')>"
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get the backend device: ibmq_santiago \n",
    "backend_santiago = provider.get_backend('ibmq_santiago')\n",
    "# Launch backend viewer of ibmq_santiago\n",
    "backend_santiago\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2d0c093c5a994394a7fa6aeecd371ea3",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VBox(children=(HTML(value=\"<h1 style='color:#ffffff;background-color:#000000;padding-top: 1%;padding-bottom: 1…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<IBMQBackend('ibmq_16_melbourne') from IBMQ(hub='ibm-q', group='open', project='main')>"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get the backend device: ibmq_16_melbourne\n",
    "backend_melbourne = provider.get_backend('ibmq_16_melbourne')\n",
    "# Launch backend viewer of ibmq_16_melbourne\n",
    "backend_melbourne\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Visualize the coupling directional map between the qubits \n",
    "plot_gate_map(backend_santiago, plot_directed=True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x216 with 1 Axes>"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Visualize the coupling directional map between the qubits \n",
    "plot_gate_map(backend_melbourne, plot_directed=True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 381.577x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Quantum circuit with a single and multi-qubit gates\n",
    "qc = QuantumCircuit(4)\n",
    "qc.h(0)\n",
    "qc.cx(0,1)\n",
    "qc.cx(0,2)\n",
    "qc.cx(0,3)\n",
    "qc.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Depth: 10\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "execution_count": 91,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Transpile the circuit with an optimization level = 0\n",
    "qc_santiago_0 = transpile(qc, backend_santiago, \n",
    "seed_transpiler=10258, optimization_level=0)\n",
    "# Print out the depth of the circuit\n",
    "print('Depth:', qc_santiago_0.depth())\n",
    "# Plot the resulting layout of the quantum circuit after Layout\n",
    "plot_circuit_layout(qc_santiago_0, backend_santiago)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 832.479x325.08 with 1 Axes>"
      ]
     },
     "execution_count": 92,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Draw the transpiled circuit pertaining to Santiago\n",
    "qc_santiago_0.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Depth: 10\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x216 with 1 Axes>"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# View the transpiled circuit with an optimization level = 0\n",
    "qc_melbourne_0 = transpile(qc, backend_melbourne, seed_transpiler=10258, optimization_level=0)\n",
    "print('Depth:', qc_melbourne_0.depth())\n",
    "plot_circuit_layout(qc_melbourne_0, backend_melbourne)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 858.731x927.08 with 1 Axes>"
      ]
     },
     "execution_count": 94,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Draw the transpiled circuit pertaining to Melbourne\n",
    "qc_melbourne_0.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Depth: 11\n",
      "Ops count:  OrderedDict([('cx', 10), ('u2', 7)])\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "execution_count": 95,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Transpile the circuit with the optimization level = 3\n",
    "qc_transpiled_santiago = transpile(qc, backend_santiago, optimization_level=3)\n",
    "# Print the depth of the transpiled circuit\n",
    "print('Depth:', qc_transpiled_santiago.depth())\n",
    "# Print the number of operations of the transpiled circuit\n",
    "print('Ops count: ', qc_transpiled_santiago.count_ops())\n",
    "# Plot the layout mapping of the transpiled circuit\n",
    "plot_circuit_layout(qc_transpiled_santiago, backend_santiago)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 952.879x325.08 with 1 Axes>"
      ]
     },
     "execution_count": 96,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Redraw the transpiled circuit at new level\n",
    "qc_transpiled_santiago.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Depth: 4\n",
      "Ops count:  OrderedDict([('cx', 3), ('u2', 1)])\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 648x216 with 1 Axes>"
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Transpile the quantum circuit with the optimization level = 3\n",
    "qc_transpiled_melbourne = transpile(qc, backend_melbourne, optimization_level=3)\n",
    "# Get the depth and operation count of the transpiled circuit. \n",
    "print('Depth:', qc_transpiled_melbourne.depth())\n",
    "print('Ops count: ', qc_transpiled_melbourne.count_ops())\n",
    "# Print the circuit layout\n",
    "plot_circuit_layout(qc_transpiled_melbourne, backend_melbourne)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "1eda3224869e480ca45ac57db17db1a5",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VBox(children=(HTML(value=\"<h1 style='color:#ffffff;background-color:#000000;padding-top: 1%;padding-bottom: 1…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<IBMQBackend('ibmqx2') from IBMQ(hub='ibm-q', group='open', project='main')>"
      ]
     },
     "execution_count": 98,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# View the ibmqx2 backend device configuration and properties\n",
    "backend = provider.get_backend('ibmqx2')\n",
    "backend\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[0, 1],\n",
       " [0, 2],\n",
       " [1, 0],\n",
       " [1, 2],\n",
       " [2, 0],\n",
       " [2, 1],\n",
       " [2, 3],\n",
       " [2, 4],\n",
       " [3, 2],\n",
       " [3, 4],\n",
       " [4, 2],\n",
       " [4, 3]]"
      ]
     },
     "execution_count": 99,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# View the backend coupling map, displayed as CNOTs (Control-Target)\n",
    "backend = provider.get_backend('ibmqx2')\n",
    "# Extract the coupling map from the backend\n",
    "ibmqx2_coupling_map = backend.configuration().coupling_map\n",
    "# List out the extracted coupling map\n",
    "ibmqx2_coupling_map\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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KHxERMZ3CR0RETKfwERER0yl8RETEdAofERExncJHRERMp/ARERHTKXxERMR0Ch8RETGdwkdEREyn8BEREdMpfERExHQKHxERMZ3CR0RETKfwERER0yl8RETEdPomUxGpU2UVZJ+FvEI4e+Fa+wcH4fYuMLg7BLTzVHXe5UolHCuA04XX2v7yCXTvDHdcfa39fD1XX0uwGIZheLoIEWk9yivg469g73G4VFb/doHt4J4ImBAJt7U3rz5vUlIG24/A5yegtKL+7ToEQOwAuH8ItPc3r76WpPAREad/fQNr9kLhZdf36eAPD98Ld/dpubq80eHTsPZzRwC5KjgIfjoK7uzRcnWZReEjIgB8cRLe3gP2m/yL8ONhEB/pzoq8l+0ovL//5va14Aigkf3dWpLpNOFARDhW0LzgAdhyEDJPuK2kJim44BhJuOrImZrXV8y0/+TNBw+AAbyb6XgObZnCxwt8/PHHzJo1i4EDBxIUFETfvn159NFHyc3N9XRp0gaUXoE1mY0Hz6qfOZaGvL8Pzpe4rzZXFJfCKx9ByidwKK/x7Y/kw1u74LWPoagJpxfd4cL3sO7zhrdx5XWuDqDL5W4rzXQKHy/w+uuv8/XXX/Pcc8+Rnp7O8uXL+eyzz4iJieHkyZOeLk9aue1Zjj+K7lBeCZu/cE9frrot0HEx3m7A/9vdcAAdyYe3PoEqu2OyRHCQeXUCbDkAZQ1MLGiKS2Ww9bB7+vIETbX2Aq+++ipdu3at0TZ27FgiIiJ47bXX+O///m8PVSat3ZVK2OvmU2WH8x1hZtYfdosFfjTU8fNHRxwBNGssDL2j5nbXB4/1Tpg63LGvWS6VwQEXRmZN8XkO/GiYY+ZhW6ORzw3sdjsrV65k4MCBBAYGMnToUGw2G4MHD+bxxx9vVt9FRUUkJCRw+HDdb1cMw2Dp0qWcOdO0k7k3Bg9A3759CQsLIz8//6ZqlVvDV187Tru5k2HAfpPP+FYHUHxk3SMgTwcPwIFTjuO7U3klfNmEa12ticLnBnPmzGHZsmUkJSWRnp7OtGnTmDFjBjk5OcTExDSr7/LycrZt20ZhYd1XOouKikhNTcVqtXL6dPN+o7Kysvjuu++IjNT0I6lf3rkW6vd8y/TbkPoCqDUED3jXa+0OOu12nTVr1pCSksLOnTuxWq0AjB8/ni+++IINGzYwfPhwtxznypUrlJXVntwfFBTE1q1bmThxIlarlR07dtC3b98m919RUUFSUhJhYWEkJSW5oWLxVl9faFv9NubGU3Apnzja7IZngwe877VuLt3nc52oqCh69+5Nenp6jfbnn3+e3/3ud1y6dInvv/+emTNnkp2dTfv27QkPD+fVV19lwIABjfZ/9uxZevRw/e6wuLg4bDZbk56DYRjMnj2bNWvWsGXLFiZMmNCk/Rti8dS/Wmkxj7zwCT0Hj63R1thMq7o8/feajy9fKODNJ3o2o7Lmm/TEewwaNQ2AnC/+wT9emuzRemb93+MEh9e8Occdr/W3J79gzX8076yMO7kaKRr5XJWfn09WVhYLFiyotS4vL4/IyEgCAgIoLS3l6aefJj4+HoDVq1eTmJjIJ5984vKxkpOTiYqKqnOd3W5n0aJFnDhxgoULFzb5eTzxxBO8/fbbvPPOO24NHvFOVZVuvuBT3W+FZ+cA9xv2I/qPmOp83HfoJAbc8xOO/3ODx2qye+lrfbMUPldVX5jv3r17jfbS0lJsNhuTJk0CIDg42Bk8AKNHj2bFihVNOlZsbCzjxo2r1V5VVUViYiI5OTls3LjReUxXPfPMM7z22mu8+eabTJ8+vUn7ukKDZO+z9nPY86+abTe+s65W/S69vvXXuye6L2956Pfl+ms81Xx8/Xjw6fV1zoIzy5s2yLph/k9dr2VTXmeAyRNjee/Xbe/fpiYcXBUWFgZAdnZ2jfYVK1ZQUFBQ72SDVatWMXXqVLfUUFxczLFjx9i0aVOTg2fx4sW89NJLrF69mscee8wt9Yj3uz20bfXbmBsnF1SrbxacmbzttW4ujXyuioiIIDo6muTkZEJDQ+nVqxepqamkpaUB1Bk+L774IsePH2fHjh0uHaN79+4Njh5CQkLIzMxs8rWV3/72tyQnJzN9+nRGjBhBZmamc12nTp0YMmRIk/qTW0dkL/D1cf8U4KG3u7c/V9Q1q8121LHOlfuAWlr07ZDu5ptCLUBUb/f2aRaNfK7y8fFh3bp1REZGMnfuXBITEwkLC2P+/Pn4+voSHR1dY/vly5ezZcsWtm7dSlCQ++6mu5mL+h988AEA7733HrGxsTWWefPmua028T6d2jv+KLrTHV0c3/djpsamUzd2H5AZegRD/27u7TOyN4R0cG+fZtHI5zqDBg0iIyOjRtvMmTMZMmQI7dtf+8KSF198kbS0NLZv305wcLDJVda2c+dOT5cgbdikaPgy3/Hlce7w4N3u6cdVxaWQsrvx+3hunIb9109hcSiEdjSv1gfvhpe3OT6brbl8fa49n7ZI4dOIffv2MWrUKOfjI0eO8Otf/5r+/fvXmDRw8OBB84sTcYNunRxfh7CxGZ+0XO2+wTAwvPn9NEWn9jB9JJwpgsl3N3wfT3UAWYAuHc0NHoC+YTB+COz4qvl9JUQ5RlNtle7zaUBJSQmdO3dm1apVPPnkk54uR6TFGAas3we7sxvftj6RveCxOMc78taiesbYzdxP01Kq7PC3T+FgM077jezvCFyfNnzrnUY+DejYsSNVVW46FyHSilks8NAI6BQIW79s+vf6jBkI/xbTuoKntfL1gZljoHPQtQkRrrLguG41aWjbDh5Q+IjIVRYLTIiCIb1gwz7I+a7xfXoEO66xDPaCr3U2k6+PI6yjejtOd+YXNb5PnzD4SYzjv95Ap91EpE5fF8G+k3D6vOPzw65UQjtfCO8EvbvA3XdAv66e+6w0V7TG0243Mgw4dd7xNeb5hXD2IlRUgb8fdO/smD04vG/bvZ+nPhr5iEideobA5BBPV+H9LBbHRIS+XjKicZXO0IqIiOkUPiIiYjqFj4iImE7hIyIiplP4iIiI6RQ+IiJiOoWPiIiYTuEjIiKmU/iIiIjpFD4iImI6hY+IiJhO4SMiIqZT+IiIiOkUPiIiYjqFj4iImE7hIyIiplP4iIiI6RQ+IiJiOoWPiIiYTuEjIiKmU/iIiIjpFD4iImI6hY+IiJhO4SMiIqZT+IiIiOkUPiLS5tntUFbh+vblFVBlb7l6pHEKnzbuo48+4v7776dHjx4EBATQo0cPfvzjH7N3715PlyZiCrsd1mTCHz6C78sb376sAl7fAX/7VAHkSQqfNu78+fMMHTqU1atX8+GHH7Jq1SrOnTtHXFwce/bs8XR5Ii3u8hXI+Q5OF8JrOxoOoLIKeGMH5J6Dk+fgUpl5dUpNFsMwDE8XIe5VXFxM165defTRR/nTn/7k6XJEWlzRZXjlIzhfAreHwtwfQlAAPP13x/pVP6sZPMFB8EQ8hN3m2bpvZRr5XMdut7Ny5UoGDhxIYGAgQ4cOxWazMXjwYB5//PFm9V1UVERCQgKHDx+uc71hGCxdupQzZ8406zgAHTt2JCAggHbt2jW7L5G2IKSDI0y6dKx7BKTgaX0UPteZM2cOy5YtIykpifT0dKZNm8aMGTPIyckhJiamWX2Xl5ezbds2CgsL61xfVFREamoqVquV06dPN7n/qqoqKioqOHXqFPPnz8cwDH7+8583q2aRtqSuAKqm4Gl9/DxdQGuxZs0aUlJS2LlzJ1arFYDx48fzxRdfsGHDBoYPH+6W41y5coWystonmoOCgti6dSsTJ07EarWyY8cO+vbt63K/VquVTz/9FIDw8HDS0tKIjo52S80ibUV1AL3ykSOAqil4Wh9d87kqKiqK3r17k56eXqP9+eef53e/+x2XLl0iICCAqVOnkpOTg6+vL+3atSM5OZn4+PhG+z979iw9evRwuZ64uDhsNpvL2x87doyLFy9y5swZ3nzzTXbt2sU//vEPxo0b53IfjbFYLG7rS6QldQztzcP/YaNztwgALp0/TepyK8Xf5Xq4Mu/naqRo5APk5+eTlZXFggULaq3Ly8sjMjKSgIAAAFJSUggODgbgwIEDjBs3jsLCQnx9fV06VnJyMlFRUXWus9vtLFq0iBMnTrBw4cImPYfBgwc7f54yZQqxsbE89dRTHDp0qEn9iHiD8u8vUFpy3hk+ZZeLKL9c5OGq5HoKHxzhA9C9e/ca7aWlpdhsNiZNmuRsqw4egIsXL2KxWFxOeoDY2Ng6RyNVVVUkJiaSk5PDxo0baxyzqXx8fBgxYgRvvfXWTfdRFw2SpS24fnJBp0Dw8QHuiOY3qUXOWXDieZpwAISFhQGQnZ1do33FihUUFBTUmmwwf/58IiIieOihh1i/fj1+fs3P8OLiYo4dO8amTZuaFTwAFRUV7N69mwEDBjS7LpG25MZZbb+YAE9NqH8WnHiOrvngON119913U1BQwMqVK+nVqxepqamkpaWRl5dHZmYmI0eOrLWfzWZjwYIF7Nq1i44dOza7DsMwmnxdZerUqQwbNoyhQ4cSGhpKXl4ef/zjH9mzZw8bNmxgypQpza5LpC1oaDp1ffcBiedo5IPjNNW6deuIjIxk7ty5JCYmEhYWxvz58/H19a131pjVasXHx8c5y6y5buaC/ujRo/nggw+YM2cO8fHxPPvss3Tp0gWbzabgkVtGY/fxNHYfkJhPI58GzJw5k0OHDjlvDC0pKeH8+fP06dMHcEw4+OEPf8ihQ4e44447PFmqyC2rKTeQagTUemjCQQP27dvHqFGjnI8vX77M9OnTKSkpwc/Pj8DAQN5++20Fj4gHWSyOSQWu3Mdz/X1APj6OfcUzNPKpR0lJCZ07d2bVqlU8+eSTni5HRBpQXgmXyyDUxUuvF76HAD9o79+ydUn9FD4iImI6TTgQERHTKXxERMR0Ch8RETGdwkdEREyn8BEREdMpfERExHQKHxERMZ3CR0RETKfwERER0yl8RETEdAofERExncJHRERMp/ARERHTKXxERMR0Ch8RETGdwkdEREyn8BEREdMpfERExHQKHxERMZ3CR0RETKfwERER0yl8RETEdAofERExncJHRERMp/ARERHTKXxERMR0Ch8RETGdwkdEREyn8BEREdMpfERExHReGz5ZWVlYLBbS0tIAyM3NxWKxsHbtWuc2dbV5g8ceewyLxcLDDz/s6VJEROrk5+kCWkqPHj3Yu3cvw4cPB2D//v0AjBgxwrlNXW1t3ccff8zatWvp1KmTp0sREamX1458unTpwqhRo/D39wccQRMSEkJERIRzm7ra2rLS0lKSkpJYsmQJISEhni5HRKRepoTPzp07mTp1KrfffjuBgYH06tWLf//3f+fixYvObUaMGMGMGTNYv349I0eOJCgoiH79+vHee+/V2efmzZuJj48nODiYoKAgoqKieOutt5zrR44cySOPPOJ8vH//fucoqL42V+q8WUVFRSQkJHD48OE61xuGwdKlSzlz5sxNH2PJkiV06NCBX/7ylzfdh4iIGUwJn0OHDjF27Fhef/11PvzwQ5YsWcKmTZt45plnAKisrCQrK4vPPvuM3//+9zz77LO8//77dOvWjdmzZ1NcXFyjvxdeeMEZEm+99Rbr169n8uTJFBYWAlBVVcWXX35ZI1j2799f6/TajW2N1dkc5eXlbNu2zVnjjYqKikhNTcVqtXL69Okm979//35efvll3njjDfz8vPZsqoh4C8NkVVVVRkVFhTF37lxj0KBBhmEYxqFDhwzAmDBhglFVVeXcdtOmTQZgHD582Nm2fv16AzBSUlLqPUZWVpYBGOnp6YZhGEZubq4BGGvXrnVuU1dbY3U2R0FBgQEY27ZtM0pLS+tc8vLyjB/84AdGv379jNzcXJf7rqioMIYNG2bMnTvX2danTx/joYceanbdIiItocXDp7Ky0nj77beNMWPGGN26dTMA5zJ8+HDDMAwjJSXFAIzMzMwa+/7lL38xAOPcuXPOtiFDhhjjx49v8Jh//etfDcA4e/asYRiGkZqaagDGiRMnnNvc2OZKnYbhCK24uDhj4MCBxl133WXs2rXLpdehOnxcXeLi4lzq1zAM47/+67+MHj16GBcuXHC2tUT4NKV+LVq03JqLq1r8/MysWbPYsGEDTzzxBM8//zxhYWH4+flx//33ExUVBcCBAwcICQlh5MiRNfY9ePAgvXv3pkuXLgDk5eXx1Vdf8dRTTzV4zAMHDtCzZ0/Cw8MBxymp0NDQWpMNrm9zpU6ApKQkpk+fzrx589izZw+PPPIIubm5zokNjUlOTq7R3/XsdjuLFi3ixIkTLFy40KX+8vLyePHFF1m9ejWGYXDhwgVnXxUVFVy4cIEOHTrQrl07l/oTETGFW98a3+DLL780AOPNN9+s0b57924DMFavXm0YhmHExcUZ8fHxtfYfO3asMXnyZOfjvXv3GoCxZcuWBo87btw440c/+pHz8YQJE2r1f32bq3V+9913RlBQkFFWVubcZsSIEcbWrVsbrMcwro18MjIy6lxfWVlpzJw50wgICDDS0tIa7a9aRkZGo+9E/va3v7ncn4iIGVp0wkFeXh4Ad955p7OtoqLCORsrJiYGwzA4ePAgMTExNfa12+0cPHiQu+++29nWs2dPwHEDaUNu3G///v21+r++zZU6q7cLDw8nICDAuV2/fv04depUg/W4ori4mGPHjrFp0yYmTZrk8n7Dhg0jIyOj1hIeHk5cXBwZGRk88MADza5PRMSdWvS029ChQwkMDGTRokW88MILnD9/npdeeomioiJ8fX0ZNmwYOTk5FBcX15qJlp2dTUlJSY0Za3fccQfjx4/nN7/5Db6+vsTExFBYWMj27dv52c9+xn333UdOTg4XLlxw7nfq1CnOnz9fo/8b21yps7m6d++OYRj1rg8JCSEzMxOLxdKkfoODgxk3blyt9sDAQLp27VrnOhERT2vR8OnVqxfvvPMOzz33HFOmTCEyMpLnnnuOLVu2EBAQQFBQEAcOHACoc2QC1Lo3Z+3atSxZsoRXXnmFgoICunTpwpgxYxgyZAiAs7/qkU91P9f3f2ObK3WCI/y++eYbysvLnaOf3Nxc+vTp45bXq6nBIyLSVlmMht6OSy0TJkxg6tSpzgkHDz/8MCdPnnR5woGIiCh8miwnJ4fZs2dz9uxZ/P39+cMf/oDVavV0WSIibYrCR0RETOe1HywqIiKtl8JHRERMp/ARERHTKXxERMR0Ch8RETGdwkdEREyn8BEREdMpfERExHQKHxERMZ3CR0RETKfwERER0yl8RETEdAofERExncJHRERMp/ARERHTKXxERMR0Ch8RETGdwkdEREyn8BEREdMpfERExHQKHxERMZ3CR0RETKfwERER0yl8RETEdAofERExncJHRERM9/8Bux9Zp8t/gccAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 531.479x325.08 with 1 Axes>"
      ]
     },
     "execution_count": 100,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Transpile a custom circuit using only the coupling map. \n",
    "# Set the backend to ‘None’ so it will force using the coupling map provided.\n",
    "qc_custom = transpile(qc, backend=None, \n",
    "coupling_map=ibmqx2_coupling_map)\n",
    "# Draw the resulting custom topology circuit.\n",
    "qc_custom.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 952.879x325.08 with 1 Axes>"
      ]
     },
     "execution_count": 101,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Create our own coupling map (custom topology)\n",
    "custom_linear_topology = [[0,1],[1,2],[2,3],[3,4]]\n",
    "# Set the coupling map to our custom linear topology\n",
    "qc_custom = transpile(qc, backend=None, coupling_map=custom_linear_topology)\n",
    "# Draw the resulting circuit.\n",
    "qc_custom.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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IiIFCUkTEQCEpImKgkBQRMVBIiogYKCRFRAwUkiIiBgpJET+62PDl4+NnoaHJf7VIx/SVsiI+dvYC7PkMDpRB1cUv2//vFud3hg/sB+NuhH8ZDtdE+K1M+YJCUsRHGpph437YXQSOK2zjAE7VwMaPYfM/4O40yLwJgnXM5zcKSREf+PwC/Ha7cy/SVc0tsGE/fFIJcywQ1cd79cmV6f1JxMvO1cFzW90LyK8qPgMr34FLOl/pFwpJg3feeYecnBxSUlKIiooiMTGRBx54gGPHjvm7NAkQLXb4w26oqb/yNst/4FxMyqvgr3/3bG3iGoWkwYsvvsiJEyf42c9+xqZNm1iyZAnvv/8+Y8eOpbS01N/lSQDYeQTKznmmr/eL4fBJz/QlrtM5SYMXXniB6667rk3bbbfdRlJSEitXruTXv/61nyqTQNDcAu986tk+txbCTYM826eY+WxP0m63s2zZMlJSUoiIiCA9PR2bzcbIkSOZO3dut/qurq4mOzubgwcPdrje4XCwaNEiKisr3er36wEJkJiYSHx8PBUVFV2qVa4eB8uh7pJn+yw+45z9Ft/xWUjOmTOHxYsXk5eXx6ZNm5gxYwazZs2ipKSEsWPHdqvvhoYGtmzZQlVVVYfrq6uryc/Px2KxUF5e3q2xCgsL+fzzz0lNTe1WP9L7FZ0KrH6lYz453F69ejWrVq1ix44dWCwWACZNmsRHH33E2rVrGTNmjEfGaWxs5NKl9m/dUVFRbN68maysLCwWC9u2bSMxMdHt/puamsjLyyM+Pp68vDwPVCy9WUXH79ndVu6hc5ziGp+EpNVqJTs7uzUgL0tOTiYsLIy0tDSqq6uZPXs2RUVFREZGMnDgQF544QWSk5NdHicrK8ul7XJycrDZbG79Dg6Hgx/+8Id8+OGHbNy4kbi4OLee35mgoCCP9if+97+fP01UvwFt2kyz2Fda99if2v78xt/e5t9uvaub1XXfv7/qvCQ+EF+7DseVLudvz+shWVFRQWFhIQsWLGi3rqysjNTUVMLDw6mvr+exxx5j8uTJAKxYsYLc3Fx27drl8lhWq5XRo0d3uM5ut7Nw4UKKi4t54okn3P49fvSjH/Hqq6/y5z//mSlTprj9fLkKeSk8AjGUAplPQhIgISGhTXt9fT02m42pU6cC0L9//9aABJgwYQJLly51a6yMjAwyMzPbtbe0tJCbm0tJSQnr1q1rHdNVP/3pT1m5ciUvv/wyM2fOdOu5rnLnnU0Cw682tp9k+fpeIXy5B9nRuo78r7vv5A2r/18vl+vt7a9dr0/cxMfHA1BUVNSmfenSpZw8efKKkzbLly9n+vTpHqmhtraWI0eOsH79ercD8qmnnuI3v/kNK1as4KGHHvJIPXJ1GBLjnX6HxnqnX+mY1/ckk5KSSEtLw2q1Ehsby+DBg8nPz6egoACgw5B85plnOHr0KNu2bXNpjISEBOO7WUxMDHv37nX7MOXZZ5/FarUyc+ZMxo0bx969e1vXXXvttYwaNcqt/uTqMnwg7Cv1fL9JAzrfRjzH63uSwcHBrFmzhtTUVObNm0dubi7x8fHMnz+fkJAQ0tLS2my/ZMkSNm7cyObNm4mKivJYHV05j/Pmm28C8Prrr5ORkdFmeeSRRzxWm/ROtwyDcA/vhlzfH4Z5ds5QOuGT2e0RI0awffv2Nm2zZ89m1KhRREZGtrY988wzFBQUsHXrVvr37++L0ox27Njh7xIkgEWEwYQU2H7Ic31O+obX5oPkCvz2scR9+/Yxfvz41p8/+eQTfvnLXzJ8+PA2ky8ff/yx74sT8ZDsNPhHOZyt635fNw1y3oxXfMsvIVlXV0dRUVGbQ9bU1NReP0smV5/wUHjgNnjubWhs7ngbV2a1Y6Lg++O1F+kPfgnJ6OhoWlpa/DG0iM/dEAcPT4KXdnTtnpBx0TDvDujvuVP04gbdKk3EB5IGwM+/AyMTOt/2q8YPh8enQvw13qlLOqdbpYn4SExfePgOOHTC+UVgn56Ajs4whYbAmGFw2wjnXqj4l0JSxIeCgmDUYOfS0AwnquF0rfPek31CnZf4JPRzBqX0DApJET8JD4Ubr3Mu0nPpnKSIiIFCUkTEQCEpImKgkBQRMVBIiogYKCRFRAwUkiIiBgpJEREDhaSIiIFCUkTEQCEpImKgkBQRMVBIiogYKCRFRAwUkiIiBgpJEREDhaSIiIFCUkTEQCEpImKgkBQRMVBIiogYBDkcHX3zr4hIWy12OHwCSj6Hiio4csrZnjYUhsbCTYNgaC/8nnCFpIgYtdjBdti51NSbt70hDrJuhtQhvqnNFxSSInJFp2rg1T1QUe3e88Ylwn3fhogwr5TlUwpJEelQ2TlY+Q7UN3Xt+UNjYd6dENXHs3X5miZuDN5++23uvPNOBg0aRHh4OIMGDeKee+7hvffe83dpIl51/p/w4rauByRAeRX8906wB/humELS4Ny5c6Snp7NixQreeustli9fztmzZ5k4cSLvvvuuv8sT8QqHA15/H/7ZaN5u+Q+ci8lnp2HXEc/V5g863HZTbW0t1113HQ888AC/+93v/F2OiMd9Wgkv7eh8u8sB+difzNuFhcAz9wbuYbfP9iTtdjvLli0jJSWFiIgI0tPTsdlsjBw5krlz53ar7+rqarKzszl48GCH6x0OB4sWLaKysrJb4wBER0cTHh5OWFgvOCMt0oHdRZ7tr6kFPizxbJ++5LOQnDNnDosXLyYvL49NmzYxY8YMZs2aRUlJCWPHju1W3w0NDWzZsoWqqqoO11dXV5Ofn4/FYqG8vNzt/ltaWmhqauL48ePMnz8fh8PBww8/3K2aRXqiiw1w6ITn+/17qef79JVQXwyyevVqVq1axY4dO7BYLABMmjSJjz76iLVr1zJmzBiPjNPY2MilS5fatUdFRbF582aysrKwWCxs27aNxMREl/u1WCzs2bMHgIEDB1JQUEBaWppHahbpSSqqwBvn305UO6+3DAnAWRCfhKTVaiU7O7s1IC9LTk4mLCysNXCmT59OSUkJISEhhIWFYbVamTx5ssvjZGVlubRdTk4ONpvN5X5feeUVampqqKys5OWXX+buu+/mb3/7G5mZmS73IRIITtV4p99mO5y9AAP7ead/b/L6xE1FRQVDhw7llVde4aGHHmqzbtasWRw+fJj9+/cDcP78efr37w/A/v37yczMpKqqipCQEOMYp06dYtCgQVitVkaPHt3hNna7nYULF1JcXMwbb7zBPffc06Xfx263k5GRwaVLlzhw4ECX+uhIUFCQx/oS6apx313IrTP/q01bZzPYV/L1CZ0//8cYPi/d38XKPMud2PP6nmRFRQUACQkJbdrr6+ux2WxMnTq1te1yQALU1NQQFBTk1i+TkZHR4d5dS0sLubm5lJSUsG7dujZjuis4OJhx48bx+9//vst9iPRULU3tT1d5SnNjJ59p7KG8HpLx8fEAFBUVcffdd7e2L126lJMnT7abtJk/fz6bNm2ipqaGN954g9DQ7pdYW1vLkSNHWL9+vcuH5FfS1NTE7t27SU5O7nZdX6UrsaQnOHQCfru9bduVLvFx9RIgcJ6LPFN2iFDzQWGP5PWQTEpKIi0tDavVSmxsLIMHDyY/P5+CggKAdiH5/PPPA2Cz2ViwYAE7d+4kOjraOEZCQoIxZGJiYti7d6/bh7TTp0/nm9/8Junp6cTGxlJWVsZLL71EYWEha9eudasvkUAwNNY7/V7fn4AMSPDBJUDBwcGsWbOG1NRU5s2bR25uLvHx8cyfP5+QkJArzhJbLBaCg4NbZ5W7qyvn/CZMmMCbb77JnDlzmDx5Mo8//jhxcXHYbDamTZvmkbpEepLoCBiR0Pl27rplmOf79BW/feJm9uzZHDhwoPUC8Lq6Os6dO8ewYc6/5v79+7njjjs4cOAAN9xwgz9KFLkqHSiD/97V+XauHm6HBsMvv+cM4EDkk0uAOrJv3z7Gjx/f+vPFixeZOXMmdXV1hIaGEhERwauvvqqAFPGx0UMheSAcPe2Z/rJGB25Agp/2JOvq6ujXrx/Lly/nxz/+sa+HF5FOnKuDZwvgUjfuAgQwLA4enRKYF5FfphtciEiHis84Z7obm7v2/IR+8KPJgb0XCQpJETEoPwd/3AOfX3DveamDYdb4wA9IUEiKSCcam+HtT5x3B+rsHpMDroUpN8PYROgtHyJTSIqISxqb4WA5HPvi2xIvNjiDMKav8/rKkYMgZWDvCcfLFJIiIgYBPOckIuJ9CkkREQOFpIiIgUJSRMRAISkiYqCQFBExUEiKiBgoJEVEDBSSIiIGCkkREQOFpIiIgUJSRMRAISkiYqCQFBExUEiKiBgoJEVEDBSSIiIGCkkREQOFpIiIgUJSRMRAISkiYqCQFBEx+P8cRTDao2W3fAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 416.767x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 103,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Import the PassManager and a few Passes\n",
    "from qiskit.transpiler import PassManager, CouplingMap\n",
    "from qiskit.transpiler.passes import TrivialLayout, BasicSwap\n",
    "# Create a TrivialLayout based on the ibmqx2 coupling map\n",
    "trivial = TrivialLayout(CouplingMap(ibmqx2_coupling_map))\n",
    "\n",
    "pm = PassManager()\n",
    "# Append the TrivialLayout to the PassManager\n",
    "pm.append(trivial)\n",
    "# Run the PassManager and draw the resulting circuit\n",
    "tv_qc = pm.run(qc)\n",
    "tv_qc.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 441.777x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 104,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Create a BasicSwap based on the ibmqx2 coupling map we used earlier\n",
    "basic_swap = BasicSwap(CouplingMap(ibmqx2_coupling_map))\n",
    "#Add the BasicSwap to the PassManager\n",
    "pm = PassManager(basic_swap)\n",
    "# Run the PassManager and draw the results\n",
    "new_qc = pm.run(qc)\n",
    "new_qc.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 953.659x325.08 with 1 Axes>"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Sample quantum circuit \n",
    "qc = QuantumCircuit(4)\n",
    "qc.h(0)\n",
    "qc.cx(0,1)\n",
    "qc.barrier()\n",
    "qc.cx(0,2)\n",
    "qc.cx(0,3)\n",
    "qc.barrier()\n",
    "qc.cz(3,0)\n",
    "qc.h(0)\n",
    "qc.measure_all()\n",
    "# Draw the circuit using the default renderer\n",
    "qc.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<PIL.Image.Image image mode=RGB size=1051x266 at 0x7EFD7C630E90>"
      ]
     },
     "execution_count": 107,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc.draw('latex')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 660.225x225.055 with 1 Axes>"
      ]
     },
     "execution_count": 108,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Define the style to render the circuit and components\n",
    "style = {'backgroundcolor': 'lightblue','gatefacecolor': 'white', 'gatetextcolor': 'black', 'fontsize': 9}\n",
    "# Draw the mpl with the specified style\n",
    "qc.draw(style=style)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<PIL.PngImagePlugin.PngImageFile image mode=RGBA size=919x1335 at 0x7EFE38BA5B90>"
      ]
     },
     "execution_count": 109,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Import the Circuit to DAG converter\n",
    "from qiskit.converters import circuit_to_dag\n",
    "# Import the DAG drawer\n",
    "from qiskit.tools.visualization import dag_drawer\n",
    "# Convert the circuit into a DAG\n",
    "dag = circuit_to_dag(qc)\n",
    "# Draw the DAG of the circuit\n",
    "dag_drawer(dag)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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